Question

Given the function defined in the table below, find the average rate of change, insimplest form, of the function over the interval 6 < x < 12.3f(x)63125187249

Answer 1

The average rate of change over the interval 6 ≤ x ≤ 12 is rise / run or

`(\Delta y)/(\Delta x)=(y_1-y_2)/(x_1-x_2)=(5-3)/(12-6)`
`=(2)/(6)`

`=(1)/(3)`

which is our answer.